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Simplifying 6(-3a + 2) + -3(-4a + 8) = 5a Reorder the terms: 6(2 + -3a) + -3(-4a + 8) = 5a (2 * 6 + -3a * 6) + -3(-4a + 8) = 5a (12 + -18a) + -3(-4a + 8) = 5a Reorder the terms: 12 + -18a + -3(8 + -4a) = 5a 12 + -18a + (8 * -3 + -4a * -3) = 5a 12 + -18a + (-24 + 12a) = 5a Reorder the terms: 12 + -24 + -18a + 12a = 5a Combine like terms: 12 + -24 = -12 -12 + -18a + 12a = 5a Combine like terms: -18a + 12a = -6a -12 + -6a = 5a Solving -12 + -6a = 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -12 + -6a + -5a = 5a + -5a Combine like terms: -6a + -5a = -11a -12 + -11a = 5a + -5a Combine like terms: 5a + -5a = 0 -12 + -11a = 0 Add '12' to each side of the equation. -12 + 12 + -11a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -11a = 0 + 12 -11a = 0 + 12 Combine like terms: 0 + 12 = 12 -11a = 12 Divide each side by '-11'. a = -1.090909091 Simplifying a = -1.090909091
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